In [1]} Jensen and Kato showed that for \(H=-\Delta +V\)  in the three-dimensional case, with real-valued \(V\)  which is bounded
and decays at a sufficient polynomial rate one has the local decay
\(\Vert  \langle x\rangle ^{-\sigma } e^{itH} P_c f\Vert _{L^2({\mathbb {R}}^3)} \lesssim \langle t\rangle ^{-\frac{3}{2}} \Vert \langle y\rangle ^\sigma f\Vert _{L^2({\mathbb {R}}^3)}\) 
